Here are link to some of the major Archery Socities in the UK - from their websites you should be able to find a club link, which will show all the clubs around the Country.
Archery GB (Formally Grand National Archery Society) - http://www.archerygb.org/
WAA - Welsh Archery Association - http://www.welsharcheryassociation.com/
SA - Scottish Archery - http://www.scottisharchery.org.uk/
NIAS - Northern Ireland Archery Society - http://www.niarchery.co.uk/
NFAS - National Field Archery Society - http://www.nfas.net/
EFAA - English Field Archery Association - http://www.efaafieldarcher.com/
WFAA - Welsh Field Archery Association - http://www.wfaa-archery.co.uk/
SFAA - Scottish Field Archery Association - http://www.scottishfieldarchery.co.uk/joomla/
NIFAA - Northern Ireland Field Archery Association - http://www.sixgolds.com/nifaa.htm
Other Archery Associations:
BWAA - British Wheelchair Archery Association - http://www.british-wheelchair-archery.org.uk/
British Longbow Society - http://www.longbow-archers.com/longbowsociety.htm...
English Warbow Society - http://www.theenglishwarbowsociety.com/
BHAA - British Horeback Archery Association - http://www.bhaa.org.uk/
BBA - British Bowhunter Association - http://www.britishbowhunterassociation.co.uk/